MATH SOLVE

9 months ago

Q:
# If ABCD is a square and AB = 10, what is the measure of CE to the nearest hundredth?

Accepted Solution

A:

Answer:[tex]AC=14.14\ units[/tex]Step-by-step explanation:The correct question is If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)see the attached figure to better understand the problemwe know thatAll four sides of the square are congruent and all four interior angles are equal to 90°. soAB=BC=CD=ADIn the right triangle ACDApplying the Pythagorean Theorem[tex]AC^2=CD^2+AD^2[/tex]we have that[tex]CD=AD=AB=10\ units[/tex]substitute the given value[tex]AC^2=10^2+10^2[/tex][tex]AC^2=200[/tex][tex]AC=\sqrt{200}\ units[/tex][tex]AC=14.14\ units[/tex]